Stochastics in Finite and Infinite Dimensions

Precise Gaussian Lower Bounds on Heat Kernels.- Feynman Integrals Associated with Albeverio—Hoegh-Krohn and Laplace Transform Potentials.- Random Iteration of I.I.D. Quadratic Maps.- Monte Carlo Algorithms and Asymptotic Problems in Nonlinear Filtering.- A Covariant Quantum Stochastic Dilation Theory.- Interacting Particle Filtering with Discrete-Time Observations: Asymptotic Behaviour in the Gaussian Case.- Hidden Markov Chain Filtering for Generalised Bessel Processes.- On the Zakai Equation of Filtering with Gaussian Noise.- Prediction and Translation of Fractional Brownian Motions.- Time Maps in the Study of Feynman’s Operational Calculus via Wiener and Feynman Path Integrals.- Two Applications of Reproducing Kernel Hilbert Spaces in Stochastic Analysis.- Stochastic Linear Controlled Systems with Quadratic Cost Revisited.- Numerical Solutions for a Class of SPDEs with Application to Filtering.- Nonlinear Diffusion Approximations of Queuing Networks.- On Equations of Stochastic Fluid Mechanics.- Infinite Level Asymptotics of a Perturbative Chern-Simons Integral.- Risk-Sensitive Dynamic Asset Management with Partial Information.- Existence of a Strong Solution for an Integro-Differential Equation and Superposition of Diffusion Processes.- On the Consistency of the Maximum Likelihood Method in Testing Multiple Quantum Hypotheses.- Large Deviations for Double Itô Equations.- The Domain of a Generator and the Intertwining Property.